As we wish to model experimentally feasible detectors, signal analysis for object detection will arise from use of measurement operators (POVMs) that model Gieger-mode photodetectors. In order to account for the information gained using a Gieger-mode photodetector in a single shot, we model measurements of the state incident on the signal detector for classical illumination and for quantum illumination, which allows us to calculate the probability of no-click in each case. The expectation value of a quantum state and a no-click POVM yields the probability of a no-click event[1]}.
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